3430541033400 has 96 divisors (see below), whose sum is σ = 11452729322160. Its totient is φ = 844440867840.

The previous prime is 3430541033393. The next prime is 3430541033489. The reversal of 3430541033400 is 43301450343.

It is a super-2 number, since 2×3430541033400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219898677 + ... + 219914276.

Almost surely, 2^{3430541033400} is an apocalyptic number.

3430541033400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3430541033400 is an abundant number, since it is smaller than the sum of its proper divisors (8022188288760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3430541033400 is a wasteful number, since it uses less digits than its factorization.

3430541033400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439812985 (or 439812976 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 3430541033400 its reverse (43301450343), we get a palindrome (3473842483743).

The spelling of 3430541033400 in words is "three trillion, four hundred thirty billion, five hundred forty-one million, thirty-three thousand, four hundred".